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Finding the Fourth Proportional to 246.50, 369.78 and 102.14

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Solution

The fourth proportional to 246.50, 369.78 and 102.14 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.50 : 369.78 = 102.14 : x
  2. Step 2: Convert to fraction form
    246.50/369.78 = 102.14/x
  3. Step 3: Cross multiply
    246.50x = 369.78 × 102.14
  4. Step 4: Simplify right side
    246.50x = 37,769.33
  5. Step 5: Solve for x
    x = 37,769.33/246.50
  6. Step 6: Final answer
    x = 153.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.